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Finding the Fourth Proportional to 133.87, 200.68 and 76.75

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Solution

The fourth proportional to 133.87, 200.68 and 76.75 is: 115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.87 : 200.68 = 76.75 : x
  2. Step 2: Convert to fraction form
    133.87/200.68 = 76.75/x
  3. Step 3: Cross multiply
    133.87x = 200.68 × 76.75
  4. Step 4: Simplify right side
    133.87x = 15,402.19
  5. Step 5: Solve for x
    x = 15,402.19/133.87
  6. Step 6: Final answer
    x = 115.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.